Details

Time bar (total: 3.8s)

sample52.0ms

Algorithm
intervals
Results
19.0ms290×body80nan
16.0ms256×body80valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
0501128

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.3b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
6.0ms
(* PI t)
14.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
2.0ms
(* PI t)
39.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
20.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049741908
149741908

prune212.0ms

Filtered
76 candidates to 106 candidates (-39.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New979106
Fresh101
Picked101
Done000
Total999108

Merged error: 0.0b

Counts
108 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI (* t (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.3b
(* PI (* t (sqrt 2.0)))
0.4b
(* t (sqrt 2.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×pow1 add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r/ associate-*r* associate-/r/
7×flip3-- pow-prod-down flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×frac-times sqrt-prod add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
2×associate-*l/ associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 97
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI (* t (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
6.0ms
(* PI (* t (sqrt 2.0)))
5.0ms
(* t (sqrt 2.0))

series55.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
40.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI (* t (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
8.0ms
(* PI (* t (sqrt 2.0)))
4.0ms
(* t (sqrt 2.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050001818

prune198.0ms

Filtered
70 candidates to 109 candidates (-55.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh178
Picked011
Done000
Total1099118

Merged error: 0.0b

Counts
118 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt PI) (* t (* (sqrt 2.0) (sqrt PI))))
0.5b
(* t (* (sqrt 2.0) (sqrt PI)))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
18×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
4×add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative
Counts
4 → 68
Calls
4 calls:
10.0ms
(* (sqrt PI) (* t (* (sqrt 2.0) (sqrt PI))))
7.0ms
(* t (* (sqrt 2.0) (sqrt PI)))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series15.0ms

Counts
4 → 8
Calls
4 calls:
6.0ms
(* (sqrt PI) (* t (* (sqrt 2.0) (sqrt PI))))
9.0ms
(* t (* (sqrt 2.0) (sqrt PI)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify20.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
05086503

prune125.0ms

Filtered
50 candidates to 76 candidates (-52.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh077
Picked011
Done011
Total76985

Merged error: 0.0b

Counts
85 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI t)
0.3b
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (* PI t))
0.5b
(* (/ (cbrt (- 1.0 (* v (* v 5.0)))) (* PI t)) (/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
1.0b
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
62×times-frac
55×add-sqr-sqrt
45×add-cube-cbrt *-un-lft-identity
37×cbrt-prod
34×add-exp-log
33×associate-*r*
24×add-cbrt-cube
13×associate-*l* sqrt-prod
12×associate-/l*
10×cbrt-undiv div-exp prod-exp cbrt-unprod
8×pow1
5×associate-*r/ associate-/r*
4×cbrt-div flip3-- sqrt-div associate-/r/ flip-- div-inv associate-/l/ add-log-exp unswap-sqr
2×frac-2neg pow-prod-down clear-num *-commutative
1×frac-times associate-*l/
Counts
4 → 164
Calls
4 calls:
3.0ms
(* PI t)
6.0ms
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (* PI t))
20.0ms
(* (/ (cbrt (- 1.0 (* v (* v 5.0)))) (* PI t)) (/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
10.0ms
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series150.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI t)
38.0ms
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (* PI t))
75.0ms
(* (/ (cbrt (- 1.0 (* v (* v 5.0)))) (* PI t)) (/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
34.0ms
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify40.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
052725086

prune836.0ms

Filtered
150 candidates to 176 candidates (-17.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1715176
Fresh516
Picked011
Done112
Total1778185

Merged error: 0b

Counts
185 → 8

regimes315.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02629
12629

end0.0ms

sample1.4s

Algorithm
intervals
Results
497.0ms8001×body80valid
466.0ms8102×body80nan

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